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Mathematics > Optimization and Control

arXiv:1812.01437 (math)
[Submitted on 30 Nov 2018]

Title:Realization of tensor-product and of tensor-Factorization of rational functions

Authors:Daniel Alpay, Izchak Lewkowicz
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Abstract:We here first study the state space realization of a tensor-product of a pair of rational functions. At the expense of "inflating" the dimensions, we recover the classical expressions for realization of a regular product of rational functions. Then, under an additional assumption that the limit at infinity of a given rational function exists and is equal to identity, an explicit formula for a tensor-factorization of this function, is introduced.
Subjects: Optimization and Control (math.OC); Complex Variables (math.CV)
MSC classes: 15A69, 47A56
Cite as: arXiv:1812.01437 [math.OC]
  (or arXiv:1812.01437v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1812.01437

Submission history

From: Daniel Alpay A [view email]
[v1] Fri, 30 Nov 2018 19:41:56 UTC (10 KB)
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